Daniel is working two summer jobs, making $8 per hour babysitting and making $15

per hour lifeguarding. In a given week, he can work a maximum of 18 total hours and

must earn no less than $200. If Daniel worked 3 hours babysitting, determine the

minimum number of whole hours lifeguarding that he must work to meet his

requirements. If there are no possible solutions, submit an empty answer,

18 hours

Step-by-step explanation:

First, he worked 3 hours babysitting, so he already made 8*3=24 dollars.

This means he must work 200-24=176 dollars lifeguarding.

Divide that by how much he makes per hour, and 176/15=11.7333 hours lifeguarding.

Round that up if he can't do a fraction of an hour to get 12 hours lifeguarding.

This is possible because the total hours worked is 12+3=15, which is less than 18.